Senate Minority Leader Mitch McConnell said Tuesday he wants the Gang of Eight’s immigration bill to proceed to the floor, despite requests from some conservatives to reject all procedural votes related to the bill.

“With regard to getting started on the bill — it’s my intention if there is a motion to proceed required, to vote for the motion to proceed so we can get on the bill and see if it we’re able to pass a bill that actually moves the ball in the right direction,” McConnell (R-Ky.) told reporters

McConnell’s signal that he won’t block an initial motion to proceed should carry a fair amount of weight within the conference.